GCD of 794, 274, 40, 697 Calculator

Given Input numbers are 794, 274, 40, 697

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 794, 274, 40, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 274, 40, 697 is 1.

Therefore, GCD of numbers 794, 274, 40, 697 is 1

Given Input Data is 794, 274, 40, 697

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 794 is 2 x 397

Prime Factorization of 274 is 2 x 137

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 697 is 17 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(794, 274) = 108778

GCD(794, 274) = ( 794 x 274 ) / 108778

GCD(794, 274) = 217556 / 108778

GCD(794, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 794, 274, 40, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 518, 59, 978
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• GCD of 325, 363, 43, 441

1. What is the GCD of 794, 274, 40, 697?

GCD of 794, 274, 40, 697 is 1

2. Where do I get the detailed procedure to find GCD of 794, 274, 40, 697?

You can find a detailed procedure to find GCD of 794, 274, 40, 697 on our page.

3. How to find GCD of 794, 274, 40, 697 on a calculator?

You can find the GCD of 794, 274, 40, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.